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Finding the Fourth Proportional to 605.98, 834.91 and 506.02

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Solution

The fourth proportional to 605.98, 834.91 and 506.02 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.98 : 834.91 = 506.02 : x
  2. Step 2: Convert to fraction form
    605.98/834.91 = 506.02/x
  3. Step 3: Cross multiply
    605.98x = 834.91 × 506.02
  4. Step 4: Simplify right side
    605.98x = 422,482.22
  5. Step 5: Solve for x
    x = 422,482.22/605.98
  6. Step 6: Final answer
    x = 697.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.